{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Practical Statistics for Data Scientists (R)\n",
    "# Chapter 4. Regression and Prediction\n",
    "> (c) 2019 Peter C. Bruce, Andrew Bruce, Peter Gedeck"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Import required R packages."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {
    "execution": {
     "iopub.execute_input": "2022-04-26T20:06:15.055153Z",
     "iopub.status.busy": "2022-04-26T20:06:15.052065Z",
     "iopub.status.idle": "2022-04-26T20:06:16.306559Z",
     "shell.execute_reply": "2022-04-26T20:06:16.305210Z"
    }
   },
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "Warning message:\n",
      "“package ‘MASS’ was built under R version 4.1.3”\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "Warning message:\n",
      "“package ‘dplyr’ was built under R version 4.1.2”\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\n",
      "Attaching package: ‘dplyr’\n",
      "\n",
      "\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "The following object is masked from ‘package:MASS’:\n",
      "\n",
      "    select\n",
      "\n",
      "\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "The following objects are masked from ‘package:stats’:\n",
      "\n",
      "    filter, lag\n",
      "\n",
      "\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "The following objects are masked from ‘package:base’:\n",
      "\n",
      "    intersect, setdiff, setequal, union\n",
      "\n",
      "\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "Warning message:\n",
      "“package ‘tidyr’ was built under R version 4.1.2”\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\n",
      "Attaching package: ‘lubridate’\n",
      "\n",
      "\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "The following objects are masked from ‘package:base’:\n",
      "\n",
      "    date, intersect, setdiff, union\n",
      "\n",
      "\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "Warning message:\n",
      "“package ‘mgcv’ was built under R version 4.1.3”\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "Loading required package: nlme\n",
      "\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "Warning message:\n",
      "“package ‘nlme’ was built under R version 4.1.2”\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\n",
      "Attaching package: ‘nlme’\n",
      "\n",
      "\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "The following object is masked from ‘package:dplyr’:\n",
      "\n",
      "    collapse\n",
      "\n",
      "\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "This is mgcv 1.8-40. For overview type 'help(\"mgcv-package\")'.\n",
      "\n"
     ]
    }
   ],
   "source": [
    "library(MASS)\n",
    "library(dplyr)\n",
    "library(tidyr)\n",
    "library(ggplot2)\n",
    "library(lubridate)\n",
    "library(splines)\n",
    "library(mgcv)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Define paths to data sets. If you don't keep your data in the same directory as the code, adapt the path names."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {
    "execution": {
     "iopub.execute_input": "2022-04-26T20:06:16.332510Z",
     "iopub.status.busy": "2022-04-26T20:06:16.309878Z",
     "iopub.status.idle": "2022-04-26T20:06:16.483284Z",
     "shell.execute_reply": "2022-04-26T20:06:16.482084Z"
    }
   },
   "outputs": [],
   "source": [
    "PSDS_PATH <- file.path(dirname(dirname(getwd())))\n",
    "\n",
    "\n",
    "lung <- read.csv(file.path(PSDS_PATH, 'data', 'LungDisease.csv'))\n",
    "house <- read.csv(file.path(PSDS_PATH, 'data', 'house_sales.csv'), sep='\\t')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Simple Linear Regression\n",
    "## The Regression Equation"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {
    "execution": {
     "iopub.execute_input": "2022-04-26T20:06:16.488035Z",
     "iopub.status.busy": "2022-04-26T20:06:16.487137Z",
     "iopub.status.idle": "2022-04-26T20:06:16.554107Z",
     "shell.execute_reply": "2022-04-26T20:06:16.552848Z"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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UP5TMOJOX3Gfqb06dtlPfpkVN9551Tv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\nAABJRU5ErkJggg==",
      "text/plain": [
       "plot without title"
      ]
     },
     "metadata": {
      "image/png": {
       "height": 420,
       "width": 420
      }
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plot(lung$Exposure, lung$PEFR, xlab=\"Exposure\", ylab=\"PEFR\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {
    "execution": {
     "iopub.execute_input": "2022-04-26T20:06:16.557982Z",
     "iopub.status.busy": "2022-04-26T20:06:16.556917Z",
     "iopub.status.idle": "2022-04-26T20:06:16.573095Z",
     "shell.execute_reply": "2022-04-26T20:06:16.571829Z"
    }
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "\n",
       "Call:\n",
       "lm(formula = PEFR ~ Exposure, data = lung)\n",
       "\n",
       "Coefficients:\n",
       "(Intercept)     Exposure  \n",
       "    424.583       -4.185  \n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "model <- lm(PEFR ~ Exposure, data=lung)\n",
    "model"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {
    "execution": {
     "iopub.execute_input": "2022-04-26T20:06:16.577496Z",
     "iopub.status.busy": "2022-04-26T20:06:16.576447Z",
     "iopub.status.idle": "2022-04-26T20:06:16.667167Z",
     "shell.execute_reply": "2022-04-26T20:06:16.666073Z"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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B56l5Ehu121a0vS+vXq21cREdq0yehwwE1MnTrVVSy5ubl169Yt3ofOmzfPfRIu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\nAIBFUOwAAAAsgmIHAABgERQ7AAAAi/h/8UMhr5Rd8PoAAAAASUVORK5CYII=",
      "text/plain": [
       "plot without title"
      ]
     },
     "metadata": {
      "image/png": {
       "height": 420,
       "width": 420
      }
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plot(lung$Exposure, lung$PEFR, xlab=\"Exposure\", ylab=\"PEFR\", ylim=c(300,450), type=\"n\", xaxs=\"i\")\n",
    "abline(a=model$coefficients[1], b=model$coefficients[2], col=\"blue\", lwd=2)\n",
    "text(x=.3, y=model$coefficients[1], labels=expression(\"b\"[0]),  adj=0, cex=1.5)\n",
    "x <- c(7.5, 17.5)\n",
    "y <- predict(model, newdata=data.frame(Exposure=x))\n",
    "segments(x[1], y[2], x[2], y[2] , col=\"red\", lwd=2, lty=2)\n",
    "segments(x[1], y[1], x[1], y[2] , col=\"red\", lwd=2, lty=2)\n",
    "text(x[1], mean(y), labels=expression(Delta~Y), pos=2, cex=1.5)\n",
    "text(mean(x), y[2], labels=expression(Delta~X), pos=1, cex=1.5)\n",
    "text(mean(x), 400, labels=expression(b[1] == frac(Delta ~ Y, Delta ~ X)), cex=1.5)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Fitted Values and Residuals"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {
    "execution": {
     "iopub.execute_input": "2022-04-26T20:06:16.670647Z",
     "iopub.status.busy": "2022-04-26T20:06:16.669682Z",
     "iopub.status.idle": "2022-04-26T20:06:16.681874Z",
     "shell.execute_reply": "2022-04-26T20:06:16.679663Z"
    }
   },
   "outputs": [],
   "source": [
    "fitted <- predict(model)\n",
    "resid <- residuals(model)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {
    "execution": {
     "iopub.execute_input": "2022-04-26T20:06:16.686378Z",
     "iopub.status.busy": "2022-04-26T20:06:16.685368Z",
     "iopub.status.idle": "2022-04-26T20:06:16.792088Z",
     "shell.execute_reply": "2022-04-26T20:06:16.790696Z"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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T8uu9m8efPU1FTeOgMAAMHAYAcqhPCE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\n/agx3wAAAABJRU5ErkJggg==",
      "text/plain": [
       "plot without title"
      ]
     },
     "metadata": {
      "image/png": {
       "height": 420,
       "width": 420
      }
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "lung1 <- lung %>%\n",
    "  mutate(Fitted=fitted,\n",
    "         positive = PEFR>Fitted) %>%\n",
    "  group_by(Exposure, positive) %>%\n",
    "  summarize(PEFR_max = max(PEFR), \n",
    "            PEFR_min = min(PEFR),\n",
    "            Fitted = first(Fitted), \n",
    "            .groups='keep') %>%\n",
    "  ungroup() %>%\n",
    "  mutate(PEFR = ifelse(positive, PEFR_max, PEFR_min)) %>%\n",
    "  arrange(Exposure)\n",
    "\n",
    "plot(lung$Exposure, lung$PEFR, xlab=\"Exposure\", ylab=\"PEFR\")\n",
    "abline(a=model$coefficients[1], b=model$coefficients[2], col=\"blue\", lwd=2)\n",
    "segments(lung1$Exposure, lung1$PEFR, lung1$Exposure, lung1$Fitted, col=\"red\", lty=3)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Multiple linear regression"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {
    "execution": {
     "iopub.execute_input": "2022-04-26T20:06:16.796815Z",
     "iopub.status.busy": "2022-04-26T20:06:16.795698Z",
     "iopub.status.idle": "2022-04-26T20:06:16.807769Z",
     "shell.execute_reply": "2022-04-26T20:06:16.806485Z"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "  AdjSalePrice SqFtTotLiving SqFtLot Bathrooms Bedrooms BldgGrade\n",
      "1       300805          2400    9373      3.00        6         7\n",
      "2      1076162          3764   20156      3.75        4        10\n",
      "3       761805          2060   26036      1.75        4         8\n",
      "4       442065          3200    8618      3.75        5         7\n",
      "5       297065          1720    8620      1.75        4         7\n",
      "6       411781           930    1012      1.50        2         8\n"
     ]
    }
   ],
   "source": [
    "print(head(house[, c('AdjSalePrice', 'SqFtTotLiving', 'SqFtLot', 'Bathrooms', \n",
    "               'Bedrooms', 'BldgGrade')]))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {
    "execution": {
     "iopub.execute_input": "2022-04-26T20:06:16.811989Z",
     "iopub.status.busy": "2022-04-26T20:06:16.810924Z",
     "iopub.status.idle": "2022-04-26T20:06:16.828691Z",
     "shell.execute_reply": "2022-04-26T20:06:16.827384Z"
    }
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "\n",
       "Call:\n",
       "lm(formula = AdjSalePrice ~ SqFtTotLiving + SqFtLot + Bathrooms + \n",
       "    Bedrooms + BldgGrade, data = house, na.action = na.omit)\n",
       "\n",
       "Coefficients:\n",
       "  (Intercept)  SqFtTotLiving        SqFtLot      Bathrooms       Bedrooms  \n",
       "   -5.219e+05      2.288e+02     -6.047e-02     -1.944e+04     -4.777e+04  \n",
       "    BldgGrade  \n",
       "    1.061e+05  \n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "house_lm <- lm(AdjSalePrice ~ SqFtTotLiving + SqFtLot + Bathrooms + \n",
    "                 Bedrooms + BldgGrade,  \n",
    "               data=house, na.action=na.omit)\n",
    "\n",
    "house_lm"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Assessing the Model"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {
    "execution": {
     "iopub.execute_input": "2022-04-26T20:06:16.834725Z",
     "iopub.status.busy": "2022-04-26T20:06:16.833678Z",
     "iopub.status.idle": "2022-04-26T20:06:16.851688Z",
     "shell.execute_reply": "2022-04-26T20:06:16.850464Z"
    }
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "\n",
       "Call:\n",
       "lm(formula = AdjSalePrice ~ SqFtTotLiving + SqFtLot + Bathrooms + \n",
       "    Bedrooms + BldgGrade, data = house, na.action = na.omit)\n",
       "\n",
       "Residuals:\n",
       "     Min       1Q   Median       3Q      Max \n",
       "-1199479  -118908   -20977    87435  9473035 \n",
       "\n",
       "Coefficients:\n",
       "                Estimate Std. Error t value Pr(>|t|)    \n",
       "(Intercept)   -5.219e+05  1.565e+04 -33.342  < 2e-16 ***\n",
       "SqFtTotLiving  2.288e+02  3.899e+00  58.694  < 2e-16 ***\n",
       "SqFtLot       -6.047e-02  6.118e-02  -0.988    0.323    \n",
       "Bathrooms     -1.944e+04  3.625e+03  -5.363 8.27e-08 ***\n",
       "Bedrooms      -4.777e+04  2.490e+03 -19.187  < 2e-16 ***\n",
       "BldgGrade      1.061e+05  2.396e+03  44.277  < 2e-16 ***\n",
       "---\n",
       "Signif. codes:  0 ‘***’ 0.001 ‘**’ 0.01 ‘*’ 0.05 ‘.’ 0.1 ‘ ’ 1\n",
       "\n",
       "Residual standard error: 261300 on 22681 degrees of freedom\n",
       "Multiple R-squared:  0.5406,\tAdjusted R-squared:  0.5405 \n",
       "F-statistic:  5338 on 5 and 22681 DF,  p-value: < 2.2e-16\n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "summary(house_lm)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Model Selection and Stepwise Regression"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {
    "execution": {
     "iopub.execute_input": "2022-04-26T20:06:16.855668Z",
     "iopub.status.busy": "2022-04-26T20:06:16.854627Z",
     "iopub.status.idle": "2022-04-26T20:06:17.576037Z",
     "shell.execute_reply": "2022-04-26T20:06:17.574697Z"
    },
    "scrolled": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Start:  AIC=563145.4\n",
      "AdjSalePrice ~ SqFtTotLiving + SqFtLot + Bathrooms + Bedrooms + \n",
      "    BldgGrade + PropertyType + NbrLivingUnits + SqFtFinBasement + \n",
      "    YrBuilt + YrRenovated + NewConstruction\n",
      "\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "                  Df  Sum of Sq        RSS    AIC\n",
      "- NbrLivingUnits   1 6.4007e+09 1.3662e+15 563144\n",
      "- NewConstruction  1 1.0592e+10 1.3662e+15 563144\n",
      "- YrRenovated      1 2.5069e+10 1.3662e+15 563144\n",
      "- SqFtLot          1 1.0657e+11 1.3663e+15 563145\n",
      "<none>                          1.3662e+15 563145\n",
      "- SqFtFinBasement  1 1.4030e+11 1.3663e+15 563146\n",
      "- PropertyType     2 4.4207e+12 1.3706e+15 563215\n",
      "- Bathrooms        1 7.6325e+12 1.3738e+15 563270\n",
      "- Bedrooms         1 2.8212e+13 1.3944e+15 563607\n",
      "- YrBuilt          1 1.2906e+14 1.4952e+15 565191\n",
      "- SqFtTotLiving    1 1.3264e+14 1.4988e+15 565246\n",
      "- BldgGrade        1 1.9050e+14 1.5567e+15 566105\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\n",
      "Step:  AIC=563143.6\n",
      "AdjSalePrice ~ SqFtTotLiving + SqFtLot + Bathrooms + Bedrooms + \n",
      "    BldgGrade + PropertyType + SqFtFinBasement + YrBuilt + YrRenovated + \n",
      "    NewConstruction\n",
      "\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "                  Df  Sum of Sq        RSS    AIC\n",
      "- NewConstruction  1 1.0801e+10 1.3662e+15 563142\n",
      "- YrRenovated      1 2.5628e+10 1.3662e+15 563142\n",
      "- SqFtLot          1 1.0731e+11 1.3663e+15 563143\n",
      "<none>                          1.3662e+15 563144\n",
      "- SqFtFinBasement  1 1.3828e+11 1.3663e+15 563144\n",
      "+ NbrLivingUnits   1 6.4007e+09 1.3662e+15 563145\n",
      "- PropertyType     2 4.4301e+12 1.3706e+15 563213\n",
      "- Bathrooms        1 7.7500e+12 1.3739e+15 563270\n",
      "- Bedrooms         1 2.8273e+13 1.3944e+15 563606\n",
      "- YrBuilt          1 1.3013e+14 1.4963e+15 565206\n",
      "- SqFtTotLiving    1 1.3288e+14 1.4990e+15 565247\n",
      "- BldgGrade        1 1.9177e+14 1.5579e+15 566122\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\n",
      "Step:  AIC=563141.7\n",
      "AdjSalePrice ~ SqFtTotLiving + SqFtLot + Bathrooms + Bedrooms + \n",
      "    BldgGrade + PropertyType + SqFtFinBasement + YrBuilt + YrRenovated\n",
      "\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "                  Df  Sum of Sq        RSS    AIC\n",
      "- YrRenovated      1 2.5893e+10 1.3662e+15 563140\n",
      "- SqFtLot          1 1.1494e+11 1.3663e+15 563142\n",
      "<none>                          1.3662e+15 563142\n",
      "- SqFtFinBasement  1 1.4534e+11 1.3663e+15 563142\n",
      "+ NewConstruction  1 1.0801e+10 1.3662e+15 563144\n",
      "+ NbrLivingUnits   1 6.6093e+09 1.3662e+15 563144\n",
      "- PropertyType     2 4.5301e+12 1.3707e+15 563213\n",
      "- Bathrooms        1 7.7487e+12 1.3739e+15 563268\n",
      "- Bedrooms         1 2.8269e+13 1.3945e+15 563604\n",
      "- SqFtTotLiving    1 1.3390e+14 1.5001e+15 565261\n",
      "- YrBuilt          1 1.3760e+14 1.5038e+15 565317\n",
      "- BldgGrade        1 1.9244e+14 1.5586e+15 566129\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\n",
      "Step:  AIC=563140.2\n",
      "AdjSalePrice ~ SqFtTotLiving + SqFtLot + Bathrooms + Bedrooms + \n",
      "    BldgGrade + PropertyType + SqFtFinBasement + YrBuilt\n",
      "\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "                  Df  Sum of Sq        RSS    AIC\n",
      "- SqFtLot          1 1.1425e+11 1.3663e+15 563140\n",
      "<none>                          1.3662e+15 563140\n",
      "- SqFtFinBasement  1 1.4999e+11 1.3664e+15 563141\n",
      "+ YrRenovated      1 2.5893e+10 1.3662e+15 563142\n",
      "+ NewConstruction  1 1.1065e+10 1.3662e+15 563142\n",
      "+ NbrLivingUnits   1 7.1825e+09 1.3662e+15 563142\n",
      "- PropertyType     2 4.5076e+12 1.3707e+15 563211\n",
      "- Bathrooms        1 7.7790e+12 1.3740e+15 563267\n",
      "- Bedrooms         1 2.8251e+13 1.3945e+15 563603\n",
      "- SqFtTotLiving    1 1.3388e+14 1.5001e+15 565259\n",
      "- YrBuilt          1 1.5091e+14 1.5171e+15 565515\n",
      "- BldgGrade        1 1.9244e+14 1.5587e+15 566128\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\n",
      "Step:  AIC=563140.1\n",
      "AdjSalePrice ~ SqFtTotLiving + Bathrooms + Bedrooms + BldgGrade + \n",
      "    PropertyType + SqFtFinBasement + YrBuilt\n",
      "\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "                  Df  Sum of Sq        RSS    AIC\n",
      "<none>                          1.3663e+15 563140\n",
      "+ SqFtLot          1 1.1425e+11 1.3662e+15 563140\n",
      "- SqFtFinBasement  1 1.4116e+11 1.3665e+15 563140\n",
      "+ YrRenovated      1 2.5199e+10 1.3663e+15 563142\n",
      "+ NewConstruction  1 1.8750e+10 1.3663e+15 563142\n",
      "+ NbrLivingUnits   1 8.0521e+09 1.3663e+15 563142\n",
      "- PropertyType     2 4.4415e+12 1.3708e+15 563210\n",
      "- Bathrooms        1 7.7109e+12 1.3740e+15 563266\n",
      "- Bedrooms         1 2.8553e+13 1.3949e+15 563607\n",
      "- SqFtTotLiving    1 1.3748e+14 1.5038e+15 565313\n",
      "- YrBuilt          1 1.5080e+14 1.5171e+15 565513\n",
      "- BldgGrade        1 1.9234e+14 1.5587e+15 566126\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "\n",
       "Call:\n",
       "lm(formula = AdjSalePrice ~ SqFtTotLiving + Bathrooms + Bedrooms + \n",
       "    BldgGrade + PropertyType + SqFtFinBasement + YrBuilt, data = house, \n",
       "    na.action = na.omit)\n",
       "\n",
       "Coefficients:\n",
       "              (Intercept)              SqFtTotLiving  \n",
       "                6.179e+06                  1.993e+02  \n",
       "                Bathrooms                   Bedrooms  \n",
       "                4.240e+04                 -5.195e+04  \n",
       "                BldgGrade  PropertyTypeSingle Family  \n",
       "                1.372e+05                  2.291e+04  \n",
       "    PropertyTypeTownhouse            SqFtFinBasement  \n",
       "                8.448e+04                  7.047e+00  \n",
       "                  YrBuilt  \n",
       "               -3.565e+03  \n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "house_full <- lm(AdjSalePrice ~ SqFtTotLiving + SqFtLot + Bathrooms + \n",
    "                   Bedrooms + BldgGrade + PropertyType + NbrLivingUnits + \n",
    "                   SqFtFinBasement + YrBuilt + YrRenovated + NewConstruction,\n",
    "                 data=house, na.action=na.omit)\n",
    "\n",
    "## Code snippet 4.8\n",
    "step_lm <- stepAIC(house_full, direction=\"both\")\n",
    "step_lm"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {
    "execution": {
     "iopub.execute_input": "2022-04-26T20:06:17.580011Z",
     "iopub.status.busy": "2022-04-26T20:06:17.578923Z",
     "iopub.status.idle": "2022-04-26T20:06:17.598455Z",
     "shell.execute_reply": "2022-04-26T20:06:17.597181Z"
    }
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "\n",
       "Call:\n",
       "lm(formula = AdjSalePrice ~ Bedrooms, data = house)\n",
       "\n",
       "Coefficients:\n",
       "(Intercept)     Bedrooms  \n",
       "     117354       132991  \n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "lm(AdjSalePrice ~  Bedrooms, data=house)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Weighted regression"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {
    "execution": {
     "iopub.execute_input": "2022-04-26T20:06:17.605717Z",
     "iopub.status.busy": "2022-04-26T20:06:17.603966Z",
     "iopub.status.idle": "2022-04-26T20:06:17.681922Z",
     "shell.execute_reply": "2022-04-26T20:06:17.679766Z"
    }
   },
   "outputs": [
    {
     "data": {
      "text/html": [
       "<table class=\"dataframe\">\n",
       "<caption>A matrix: 6 × 2 of type dbl</caption>\n",
       "<thead>\n",
       "\t<tr><th></th><th scope=col>house_lm</th><th scope=col>house_wt</th></tr>\n",
       "</thead>\n",
       "<tbody>\n",
       "\t<tr><th scope=row>(Intercept)</th><td>-521871.368</td><td>-584189.329</td></tr>\n",
       "\t<tr><th scope=row>SqFtTotLiving</th><td>    228.831</td><td>    245.024</td></tr>\n",
       "\t<tr><th scope=row>SqFtLot</th><td>     -0.060</td><td>     -0.292</td></tr>\n",
       "\t<tr><th scope=row>Bathrooms</th><td> -19442.840</td><td> -26085.970</td></tr>\n",
       "\t<tr><th scope=row>Bedrooms</th><td> -47769.955</td><td> -53608.876</td></tr>\n",
       "\t<tr><th scope=row>BldgGrade</th><td> 106106.963</td><td> 115242.435</td></tr>\n",
       "</tbody>\n",
       "</table>\n"
      ],
      "text/latex": [
       "A matrix: 6 × 2 of type dbl\n",
       "\\begin{tabular}{r|ll}\n",
       "  & house\\_lm & house\\_wt\\\\\n",
       "\\hline\n",
       "\t(Intercept) & -521871.368 & -584189.329\\\\\n",
       "\tSqFtTotLiving &     228.831 &     245.024\\\\\n",
       "\tSqFtLot &      -0.060 &      -0.292\\\\\n",
       "\tBathrooms &  -19442.840 &  -26085.970\\\\\n",
       "\tBedrooms &  -47769.955 &  -53608.876\\\\\n",
       "\tBldgGrade &  106106.963 &  115242.435\\\\\n",
       "\\end{tabular}\n"
      ],
      "text/markdown": [
       "\n",
       "A matrix: 6 × 2 of type dbl\n",
       "\n",
       "| <!--/--> | house_lm | house_wt |\n",
       "|---|---|---|\n",
       "| (Intercept) | -521871.368 | -584189.329 |\n",
       "| SqFtTotLiving |     228.831 |     245.024 |\n",
       "| SqFtLot |      -0.060 |      -0.292 |\n",
       "| Bathrooms |  -19442.840 |  -26085.970 |\n",
       "| Bedrooms |  -47769.955 |  -53608.876 |\n",
       "| BldgGrade |  106106.963 |  115242.435 |\n",
       "\n"
      ],
      "text/plain": [
       "              house_lm    house_wt   \n",
       "(Intercept)   -521871.368 -584189.329\n",
       "SqFtTotLiving     228.831     245.024\n",
       "SqFtLot            -0.060      -0.292\n",
       "Bathrooms      -19442.840  -26085.970\n",
       "Bedrooms       -47769.955  -53608.876\n",
       "BldgGrade      106106.963  115242.435"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "house$Year = year(house$DocumentDate)\n",
    "house$Weight = house$Year - 2005\n",
    "\n",
    "house_wt <- lm(AdjSalePrice ~ SqFtTotLiving + SqFtLot + Bathrooms + \n",
    "                 Bedrooms + BldgGrade,\n",
    "               data=house, weight=Weight, na.action=na.omit)\n",
    "round(cbind(house_lm=house_lm$coefficients, \n",
    "            house_wt=house_wt$coefficients), digits=3)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Factor variables in regression\n",
    "## Dummy Variables Representation"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {
    "execution": {
     "iopub.execute_input": "2022-04-26T20:06:17.686735Z",
     "iopub.status.busy": "2022-04-26T20:06:17.685015Z",
     "iopub.status.idle": "2022-04-26T20:06:17.699462Z",
     "shell.execute_reply": "2022-04-26T20:06:17.697699Z"
    }
   },
   "outputs": [
    {
     "data": {
      "text/html": [
       "<style>\n",
       ".list-inline {list-style: none; margin:0; padding: 0}\n",
       ".list-inline>li {display: inline-block}\n",
       ".list-inline>li:not(:last-child)::after {content: \"\\00b7\"; padding: 0 .5ex}\n",
       "</style>\n",
       "<ol class=list-inline><li>'Multiplex'</li><li>'Single Family'</li><li>'Single Family'</li><li>'Single Family'</li><li>'Single Family'</li><li>'Townhouse'</li></ol>\n"
      ],
      "text/latex": [
       "\\begin{enumerate*}\n",
       "\\item 'Multiplex'\n",
       "\\item 'Single Family'\n",
       "\\item 'Single Family'\n",
       "\\item 'Single Family'\n",
       "\\item 'Single Family'\n",
       "\\item 'Townhouse'\n",
       "\\end{enumerate*}\n"
      ],
      "text/markdown": [
       "1. 'Multiplex'\n",
       "2. 'Single Family'\n",
       "3. 'Single Family'\n",
       "4. 'Single Family'\n",
       "5. 'Single Family'\n",
       "6. 'Townhouse'\n",
       "\n",
       "\n"
      ],
      "text/plain": [
       "[1] \"Multiplex\"     \"Single Family\" \"Single Family\" \"Single Family\"\n",
       "[5] \"Single Family\" \"Townhouse\"    "
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "head(house[, 'PropertyType'])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {
    "execution": {
     "iopub.execute_input": "2022-04-26T20:06:17.704023Z",
     "iopub.status.busy": "2022-04-26T20:06:17.702250Z",
     "iopub.status.idle": "2022-04-26T20:06:17.724942Z",
     "shell.execute_reply": "2022-04-26T20:06:17.723011Z"
    }
   },
   "outputs": [
    {
     "data": {
      "text/html": [
       "<table class=\"dataframe\">\n",
       "<caption>A matrix: 6 × 3 of type dbl</caption>\n",
       "<thead>\n",
       "\t<tr><th></th><th scope=col>PropertyTypeMultiplex</th><th scope=col>PropertyTypeSingle Family</th><th scope=col>PropertyTypeTownhouse</th></tr>\n",
       "</thead>\n",
       "<tbody>\n",
       "\t<tr><th scope=row>1</th><td>1</td><td>0</td><td>0</td></tr>\n",
       "\t<tr><th scope=row>2</th><td>0</td><td>1</td><td>0</td></tr>\n",
       "\t<tr><th scope=row>3</th><td>0</td><td>1</td><td>0</td></tr>\n",
       "\t<tr><th scope=row>4</th><td>0</td><td>1</td><td>0</td></tr>\n",
       "\t<tr><th scope=row>5</th><td>0</td><td>1</td><td>0</td></tr>\n",
       "\t<tr><th scope=row>6</th><td>0</td><td>0</td><td>1</td></tr>\n",
       "</tbody>\n",
       "</table>\n"
      ],
      "text/latex": [
       "A matrix: 6 × 3 of type dbl\n",
       "\\begin{tabular}{r|lll}\n",
       "  & PropertyTypeMultiplex & PropertyTypeSingle Family & PropertyTypeTownhouse\\\\\n",
       "\\hline\n",
       "\t1 & 1 & 0 & 0\\\\\n",
       "\t2 & 0 & 1 & 0\\\\\n",
       "\t3 & 0 & 1 & 0\\\\\n",
       "\t4 & 0 & 1 & 0\\\\\n",
       "\t5 & 0 & 1 & 0\\\\\n",
       "\t6 & 0 & 0 & 1\\\\\n",
       "\\end{tabular}\n"
      ],
      "text/markdown": [
       "\n",
       "A matrix: 6 × 3 of type dbl\n",
       "\n",
       "| <!--/--> | PropertyTypeMultiplex | PropertyTypeSingle Family | PropertyTypeTownhouse |\n",
       "|---|---|---|---|\n",
       "| 1 | 1 | 0 | 0 |\n",
       "| 2 | 0 | 1 | 0 |\n",
       "| 3 | 0 | 1 | 0 |\n",
       "| 4 | 0 | 1 | 0 |\n",
       "| 5 | 0 | 1 | 0 |\n",
       "| 6 | 0 | 0 | 1 |\n",
       "\n"
      ],
      "text/plain": [
       "  PropertyTypeMultiplex PropertyTypeSingle Family PropertyTypeTownhouse\n",
       "1 1                     0                         0                    \n",
       "2 0                     1                         0                    \n",
       "3 0                     1                         0                    \n",
       "4 0                     1                         0                    \n",
       "5 0                     1                         0                    \n",
       "6 0                     0                         1                    "
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "prop_type_dummies <- model.matrix(~PropertyType -1, data=house)\n",
    "head(prop_type_dummies)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {
    "execution": {
     "iopub.execute_input": "2022-04-26T20:06:17.730747Z",
     "iopub.status.busy": "2022-04-26T20:06:17.728940Z",
     "iopub.status.idle": "2022-04-26T20:06:17.754961Z",
     "shell.execute_reply": "2022-04-26T20:06:17.753039Z"
    }
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "\n",
       "Call:\n",
       "lm(formula = AdjSalePrice ~ SqFtTotLiving + SqFtLot + Bathrooms + \n",
       "    Bedrooms + BldgGrade + PropertyType, data = house)\n",
       "\n",
       "Coefficients:\n",
       "              (Intercept)              SqFtTotLiving  \n",
       "               -4.468e+05                  2.234e+02  \n",
       "                  SqFtLot                  Bathrooms  \n",
       "               -7.037e-02                 -1.598e+04  \n",
       "                 Bedrooms                  BldgGrade  \n",
       "               -5.089e+04                  1.094e+05  \n",
       "PropertyTypeSingle Family      PropertyTypeTownhouse  \n",
       "               -8.468e+04                 -1.151e+05  \n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "lm(AdjSalePrice ~ SqFtTotLiving + SqFtLot + Bathrooms + \n",
    "     Bedrooms +  BldgGrade + PropertyType, data=house)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Factor Variables with many levels"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {
    "execution": {
     "iopub.execute_input": "2022-04-26T20:06:17.760281Z",
     "iopub.status.busy": "2022-04-26T20:06:17.758321Z",
     "iopub.status.idle": "2022-04-26T20:06:17.776782Z",
     "shell.execute_reply": "2022-04-26T20:06:17.775539Z"
    }
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "\n",
       "98001 98002 98003 98004 98005 98006 98007 98008 98010 98011 98014 98019 98022 \n",
       "  358   180   241   293   133   460   112   291    56   163    85   242   188 \n",
       "98023 98024 98027 98028 98029 98030 98031 98032 98033 98034 98038 98039 98040 \n",
       "  455    31   366   252   475   263   308   121   517   575   788    47   244 \n",
       "98042 98043 98045 98047 98050 98051 98052 98053 98055 98056 98057 98058 98059 \n",
       "  641     1   222    48     7    32   614   499   332   402     4   420   513 \n",
       "98065 98068 98070 98072 98074 98075 98077 98092 98102 98103 98105 98106 98107 \n",
       "  430     1    89   245   502   388   204   289   106   671   313   361   296 \n",
       "98108 98109 98112 98113 98115 98116 98117 98118 98119 98122 98125 98126 98133 \n",
       "  155   149   357     1   620   364   619   492   260   380   409   473   465 \n",
       "98136 98144 98146 98148 98155 98166 98168 98177 98178 98188 98198 98199 98224 \n",
       "  310   332   287    40   358   193   332   216   266   101   225   393     3 \n",
       "98288 98354 \n",
       "    4     9 "
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "table(house$ZipCode)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {
    "execution": {
     "iopub.execute_input": "2022-04-26T20:06:17.782208Z",
     "iopub.status.busy": "2022-04-26T20:06:17.780550Z",
     "iopub.status.idle": "2022-04-26T20:06:17.823796Z",
     "shell.execute_reply": "2022-04-26T20:06:17.821626Z"
    }
   },
   "outputs": [],
   "source": [
    "zip_groups <- house %>%\n",
    "  mutate(resid = residuals(house_lm)) %>%\n",
    "  group_by(ZipCode) %>%\n",
    "  summarize(med_resid = median(resid),\n",
    "            cnt = n()) %>%\n",
    "  # sort the zip codes by the median residual\n",
    "  arrange(med_resid) %>%\n",
    "  mutate(cum_cnt = cumsum(cnt),\n",
    "         ZipGroup = factor(ntile(cum_cnt, 5)))\n",
    "house <- house %>%\n",
    "  left_join(select(zip_groups, ZipCode, ZipGroup), by='ZipCode')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {
    "execution": {
     "iopub.execute_input": "2022-04-26T20:06:17.828734Z",
     "iopub.status.busy": "2022-04-26T20:06:17.826987Z",
     "iopub.status.idle": "2022-04-26T20:06:17.841894Z",
     "shell.execute_reply": "2022-04-26T20:06:17.839817Z"
    }
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "\n",
       " 1  2  3  4  5 \n",
       "16 16 16 16 16 "
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "table(zip_groups[c('ZipGroup')])"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Interpreting the Regression Equation\n",
    "## Correlated predictors"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The results from the stepwise regression are."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "metadata": {
    "execution": {
     "iopub.execute_input": "2022-04-26T20:06:17.847016Z",
     "iopub.status.busy": "2022-04-26T20:06:17.845295Z",
     "iopub.status.idle": "2022-04-26T20:06:17.859697Z",
     "shell.execute_reply": "2022-04-26T20:06:17.857572Z"
    }
   },
   "outputs": [
    {
     "data": {
      "text/html": [
       "<style>\n",
       ".dl-inline {width: auto; margin:0; padding: 0}\n",
       ".dl-inline>dt, .dl-inline>dd {float: none; width: auto; display: inline-block}\n",
       ".dl-inline>dt::after {content: \":\\0020\"; padding-right: .5ex}\n",
       ".dl-inline>dt:not(:first-of-type) {padding-left: .5ex}\n",
       "</style><dl class=dl-inline><dt>(Intercept)</dt><dd>6178645.01703279</dd><dt>SqFtTotLiving</dt><dd>199.277553042012</dd><dt>Bathrooms</dt><dd>42396.16452772</dd><dt>Bedrooms</dt><dd>-51947.3836736137</dd><dt>BldgGrade</dt><dd>137159.560226199</dd><dt>PropertyTypeSingle Family</dt><dd>22912.0551870182</dd><dt>PropertyTypeTownhouse</dt><dd>84479.1620329981</dd><dt>SqFtFinBasement</dt><dd>7.04697496756521</dd><dt>YrBuilt</dt><dd>-3565.42493924941</dd></dl>\n"
      ],
      "text/latex": [
       "\\begin{description*}\n",
       "\\item[(Intercept)] 6178645.01703279\n",
       "\\item[SqFtTotLiving] 199.277553042012\n",
       "\\item[Bathrooms] 42396.16452772\n",
       "\\item[Bedrooms] -51947.3836736137\n",
       "\\item[BldgGrade] 137159.560226199\n",
       "\\item[PropertyTypeSingle Family] 22912.0551870182\n",
       "\\item[PropertyTypeTownhouse] 84479.1620329981\n",
       "\\item[SqFtFinBasement] 7.04697496756521\n",
       "\\item[YrBuilt] -3565.42493924941\n",
       "\\end{description*}\n"
      ],
      "text/markdown": [
       "(Intercept)\n",
       ":   6178645.01703279SqFtTotLiving\n",
       ":   199.277553042012Bathrooms\n",
       ":   42396.16452772Bedrooms\n",
       ":   -51947.3836736137BldgGrade\n",
       ":   137159.560226199PropertyTypeSingle Family\n",
       ":   22912.0551870182PropertyTypeTownhouse\n",
       ":   84479.1620329981SqFtFinBasement\n",
       ":   7.04697496756521YrBuilt\n",
       ":   -3565.42493924941\n",
       "\n"
      ],
      "text/plain": [
       "              (Intercept)             SqFtTotLiving                 Bathrooms \n",
       "             6.178645e+06              1.992776e+02              4.239616e+04 \n",
       "                 Bedrooms                 BldgGrade PropertyTypeSingle Family \n",
       "            -5.194738e+04              1.371596e+05              2.291206e+04 \n",
       "    PropertyTypeTownhouse           SqFtFinBasement                   YrBuilt \n",
       "             8.447916e+04              7.046975e+00             -3.565425e+03 "
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "step_lm$coefficients"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "metadata": {
    "execution": {
     "iopub.execute_input": "2022-04-26T20:06:17.863681Z",
     "iopub.status.busy": "2022-04-26T20:06:17.862756Z",
     "iopub.status.idle": "2022-04-26T20:06:17.997023Z",
     "shell.execute_reply": "2022-04-26T20:06:17.995804Z"
    }
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "\n",
       "Call:\n",
       "lm(formula = AdjSalePrice ~ Bedrooms + BldgGrade + PropertyType + \n",
       "    YrBuilt, data = house, na.action = na.omit)\n",
       "\n",
       "Coefficients:\n",
       "              (Intercept)                   Bedrooms  \n",
       "                  4913973                      27151  \n",
       "                BldgGrade  PropertyTypeSingle Family  \n",
       "                   248998                     -19898  \n",
       "    PropertyTypeTownhouse                    YrBuilt  \n",
       "                   -47355                      -3212  \n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "update(step_lm, . ~ . -SqFtTotLiving - SqFtFinBasement - Bathrooms)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Confounding variables"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "metadata": {
    "execution": {
     "iopub.execute_input": "2022-04-26T20:06:18.002167Z",
     "iopub.status.busy": "2022-04-26T20:06:18.001046Z",
     "iopub.status.idle": "2022-04-26T20:06:18.024792Z",
     "shell.execute_reply": "2022-04-26T20:06:18.022531Z"
    }
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "\n",
       "Call:\n",
       "lm(formula = AdjSalePrice ~ SqFtTotLiving + SqFtLot + Bathrooms + \n",
       "    Bedrooms + BldgGrade + PropertyType + ZipGroup, data = house, \n",
       "    na.action = na.omit)\n",
       "\n",
       "Coefficients:\n",
       "              (Intercept)              SqFtTotLiving  \n",
       "               -6.666e+05                  2.106e+02  \n",
       "                  SqFtLot                  Bathrooms  \n",
       "                4.550e-01                  5.928e+03  \n",
       "                 Bedrooms                  BldgGrade  \n",
       "               -4.168e+04                  9.854e+04  \n",
       "PropertyTypeSingle Family      PropertyTypeTownhouse  \n",
       "                1.932e+04                 -7.820e+04  \n",
       "                ZipGroup2                  ZipGroup3  \n",
       "                5.332e+04                  1.163e+05  \n",
       "                ZipGroup4                  ZipGroup5  \n",
       "                1.784e+05                  3.384e+05  \n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "lm(AdjSalePrice ~  SqFtTotLiving + SqFtLot + \n",
    "     Bathrooms + Bedrooms + \n",
    "     BldgGrade + PropertyType + ZipGroup,\n",
    "   data=house, na.action=na.omit)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Interactions and Main Effects"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "metadata": {
    "execution": {
     "iopub.execute_input": "2022-04-26T20:06:18.029696Z",
     "iopub.status.busy": "2022-04-26T20:06:18.028450Z",
     "iopub.status.idle": "2022-04-26T20:06:18.053764Z",
     "shell.execute_reply": "2022-04-26T20:06:18.051806Z"
    }
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "\n",
       "Call:\n",
       "lm(formula = AdjSalePrice ~ SqFtTotLiving * ZipGroup + SqFtLot + \n",
       "    Bathrooms + Bedrooms + BldgGrade + PropertyType, data = house, \n",
       "    na.action = na.omit)\n",
       "\n",
       "Coefficients:\n",
       "              (Intercept)              SqFtTotLiving  \n",
       "               -4.853e+05                  1.148e+02  \n",
       "                ZipGroup2                  ZipGroup3  \n",
       "               -1.113e+04                  2.032e+04  \n",
       "                ZipGroup4                  ZipGroup5  \n",
       "                2.050e+04                 -1.499e+05  \n",
       "                  SqFtLot                  Bathrooms  \n",
       "                6.869e-01                 -3.619e+03  \n",
       "                 Bedrooms                  BldgGrade  \n",
       "               -4.180e+04                  1.047e+05  \n",
       "PropertyTypeSingle Family      PropertyTypeTownhouse  \n",
       "                1.357e+04                 -5.884e+04  \n",
       "  SqFtTotLiving:ZipGroup2    SqFtTotLiving:ZipGroup3  \n",
       "                3.260e+01                  4.178e+01  \n",
       "  SqFtTotLiving:ZipGroup4    SqFtTotLiving:ZipGroup5  \n",
       "                6.934e+01                  2.267e+02  \n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "lm(AdjSalePrice ~  SqFtTotLiving*ZipGroup + SqFtLot + \n",
    "     Bathrooms + Bedrooms + \n",
    "     BldgGrade + PropertyType,\n",
    "   data=house, na.action=na.omit)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Testing the Assumptions: Regression Diagnostics\n",
    "## Outliers"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "metadata": {
    "execution": {
     "iopub.execute_input": "2022-04-26T20:06:18.058777Z",
     "iopub.status.busy": "2022-04-26T20:06:18.056941Z",
     "iopub.status.idle": "2022-04-26T20:06:18.071477Z",
     "shell.execute_reply": "2022-04-26T20:06:18.069515Z"
    }
   },
   "outputs": [],
   "source": [
    "house_98105 <- house[house$ZipCode == 98105,]\n",
    "lm_98105 <- lm(AdjSalePrice ~ SqFtTotLiving + SqFtLot + Bathrooms + \n",
    "                 Bedrooms + BldgGrade, data=house_98105)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 25,
   "metadata": {
    "execution": {
     "iopub.execute_input": "2022-04-26T20:06:18.076463Z",
     "iopub.status.busy": "2022-04-26T20:06:18.074536Z",
     "iopub.status.idle": "2022-04-26T20:06:18.089765Z",
     "shell.execute_reply": "2022-04-26T20:06:18.087899Z"
    }
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "\n",
       "Call:\n",
       "lm(formula = AdjSalePrice ~ SqFtTotLiving + SqFtLot + Bathrooms + \n",
       "    Bedrooms + BldgGrade, data = house_98105)\n",
       "\n",
       "Residuals:\n",
       "    Min      1Q  Median      3Q     Max \n",
       "-757754  -91807   -9668   77586  953911 \n",
       "\n",
       "Coefficients:\n",
       "                Estimate Std. Error t value Pr(>|t|)    \n",
       "(Intercept)   -772549.86   98277.27  -7.861 6.51e-14 ***\n",
       "SqFtTotLiving     209.60      24.41   8.587 4.54e-16 ***\n",
       "SqFtLot            38.93       5.33   7.305 2.41e-12 ***\n",
       "Bathrooms        2282.26   19983.57   0.114   0.9091    \n",
       "Bedrooms       -26320.27   12881.09  -2.043   0.0419 *  \n",
       "BldgGrade      130000.10   15234.12   8.533 6.63e-16 ***\n",
       "---\n",
       "Signif. codes:  0 ‘***’ 0.001 ‘**’ 0.01 ‘*’ 0.05 ‘.’ 0.1 ‘ ’ 1\n",
       "\n",
       "Residual standard error: 178500 on 307 degrees of freedom\n",
       "Multiple R-squared:  0.7954,\tAdjusted R-squared:  0.7921 \n",
       "F-statistic: 238.7 on 5 and 307 DF,  p-value: < 2.2e-16\n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "summary(lm_98105)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 26,
   "metadata": {
    "execution": {
     "iopub.execute_input": "2022-04-26T20:06:18.094478Z",
     "iopub.status.busy": "2022-04-26T20:06:18.092612Z",
     "iopub.status.idle": "2022-04-26T20:06:18.115254Z",
     "shell.execute_reply": "2022-04-26T20:06:18.113258Z"
    }
   },
   "outputs": [
    {
     "data": {
      "text/html": [
       "<strong>20429:</strong> -4.32673180407856"
      ],
      "text/latex": [
       "\\textbf{20429:} -4.32673180407856"
      ],
      "text/markdown": [
       "**20429:** -4.32673180407856"
      ],
      "text/plain": [
       "    20429 \n",
       "-4.326732 "
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<strong>20429:</strong> -757753.619211582"
      ],
      "text/latex": [
       "\\textbf{20429:} -757753.619211582"
      ],
      "text/markdown": [
       "**20429:** -757753.619211582"
      ],
      "text/plain": [
       "    20429 \n",
       "-757753.6 "
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "sresid <- rstandard(lm_98105)\n",
    "idx <- order(sresid, decreasing=FALSE)\n",
    "sresid[idx[1]]\n",
    "resid(lm_98105)[idx[1]]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 27,
   "metadata": {
    "execution": {
     "iopub.execute_input": "2022-04-26T20:06:18.119758Z",
     "iopub.status.busy": "2022-04-26T20:06:18.118114Z",
     "iopub.status.idle": "2022-04-26T20:06:18.136609Z",
     "shell.execute_reply": "2022-04-26T20:06:18.134621Z"
    }
   },
   "outputs": [
    {
     "data": {
      "text/html": [
       "<table class=\"dataframe\">\n",
       "<caption>A data.frame: 1 × 6</caption>\n",
       "<thead>\n",
       "\t<tr><th></th><th scope=col>AdjSalePrice</th><th scope=col>SqFtTotLiving</th><th scope=col>SqFtLot</th><th scope=col>Bathrooms</th><th scope=col>Bedrooms</th><th scope=col>BldgGrade</th></tr>\n",
       "\t<tr><th></th><th scope=col>&lt;dbl&gt;</th><th scope=col>&lt;int&gt;</th><th scope=col>&lt;int&gt;</th><th scope=col>&lt;dbl&gt;</th><th scope=col>&lt;int&gt;</th><th scope=col>&lt;int&gt;</th></tr>\n",
       "</thead>\n",
       "<tbody>\n",
       "\t<tr><th scope=row>20429</th><td>119748</td><td>2900</td><td>7276</td><td>3</td><td>6</td><td>7</td></tr>\n",
       "</tbody>\n",
       "</table>\n"
      ],
      "text/latex": [
       "A data.frame: 1 × 6\n",
       "\\begin{tabular}{r|llllll}\n",
       "  & AdjSalePrice & SqFtTotLiving & SqFtLot & Bathrooms & Bedrooms & BldgGrade\\\\\n",
       "  & <dbl> & <int> & <int> & <dbl> & <int> & <int>\\\\\n",
       "\\hline\n",
       "\t20429 & 119748 & 2900 & 7276 & 3 & 6 & 7\\\\\n",
       "\\end{tabular}\n"
      ],
      "text/markdown": [
       "\n",
       "A data.frame: 1 × 6\n",
       "\n",
       "| <!--/--> | AdjSalePrice &lt;dbl&gt; | SqFtTotLiving &lt;int&gt; | SqFtLot &lt;int&gt; | Bathrooms &lt;dbl&gt; | Bedrooms &lt;int&gt; | BldgGrade &lt;int&gt; |\n",
       "|---|---|---|---|---|---|---|\n",
       "| 20429 | 119748 | 2900 | 7276 | 3 | 6 | 7 |\n",
       "\n"
      ],
      "text/plain": [
       "      AdjSalePrice SqFtTotLiving SqFtLot Bathrooms Bedrooms BldgGrade\n",
       "20429 119748       2900          7276    3         6        7        "
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "house_98105[idx[1], c('AdjSalePrice', 'SqFtTotLiving', 'SqFtLot',\n",
    "                      'Bathrooms', 'Bedrooms', 'BldgGrade')]"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Influential values"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 28,
   "metadata": {
    "execution": {
     "iopub.execute_input": "2022-04-26T20:06:18.141444Z",
     "iopub.status.busy": "2022-04-26T20:06:18.139765Z",
     "iopub.status.idle": "2022-04-26T20:06:18.217603Z",
     "shell.execute_reply": "2022-04-26T20:06:18.213578Z"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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26TdgJ8DBc7AMCtKiyUw6HRow1V16KFUlO1Zg1VB9QfLnYAgFuSna2nntKJE4Zh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\nrkJggg==",
      "text/plain": [
       "plot without title"
      ]
     },
     "metadata": {
      "image/png": {
       "height": 420,
       "width": 420
      }
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "seed <- 11\n",
    "set.seed(seed)\n",
    "x <- rnorm(25)\n",
    "y <- -x/5 + rnorm(25)\n",
    "x[1] <- 8\n",
    "y[1] <- 8\n",
    "\n",
    "plot(x, y, xlab='', ylab='', pch=16)\n",
    "model <- lm(y~x)\n",
    "abline(a=model$coefficients[1], b=model$coefficients[2], col=\"blue\", lwd=3)\n",
    "model <- lm(y[-1]~x[-1])\n",
    "abline(a=model$coefficients[1], b=model$coefficients[2], col=\"red\", lwd=3, lty=2)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 29,
   "metadata": {
    "execution": {
     "iopub.execute_input": "2022-04-26T20:06:18.224638Z",
     "iopub.status.busy": "2022-04-26T20:06:18.223596Z",
     "iopub.status.idle": "2022-04-26T20:06:18.292604Z",
     "shell.execute_reply": "2022-04-26T20:06:18.285603Z"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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auE9KanPPoIx3n2pgSVvCT22IAphCSg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\nAAYQEgADCAmAAYQEwABCAmAAIQEw8H+JLNZT6YqoRgAAAABJRU5ErkJggg==",
      "text/plain": [
       "plot without title"
      ]
     },
     "metadata": {
      "image/png": {
       "height": 420,
       "width": 420
      }
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# influential observations\n",
    "std_resid <- rstandard(lm_98105)\n",
    "cooks_D <- cooks.distance(lm_98105)\n",
    "hat_values <- hatvalues(lm_98105)\n",
    "plot(subset(hat_values, cooks_D > 0.08), subset(std_resid, cooks_D > 0.08), \n",
    "     xlab='hat_values', ylab='std_resid',\n",
    "     cex=10*sqrt(subset(cooks_D, cooks_D > 0.08)), pch=16, col='lightgrey')\n",
    "points(hat_values, std_resid, cex=10*sqrt(cooks_D))\n",
    "abline(h=c(-2.5, 2.5), lty=2)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 30,
   "metadata": {
    "execution": {
     "iopub.execute_input": "2022-04-26T20:06:18.297278Z",
     "iopub.status.busy": "2022-04-26T20:06:18.296061Z",
     "iopub.status.idle": "2022-04-26T20:06:18.310516Z",
     "shell.execute_reply": "2022-04-26T20:06:18.308796Z"
    }
   },
   "outputs": [],
   "source": [
    "lm_98105_inf <- lm(AdjSalePrice ~ SqFtTotLiving + SqFtLot + \n",
    "                     Bathrooms +  Bedrooms + BldgGrade,\n",
    "                   subset=cooks_D<.08, data=house_98105)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Heteroskedasticity, Non-Normality and Correlated Errors"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 31,
   "metadata": {
    "execution": {
     "iopub.execute_input": "2022-04-26T20:06:18.315593Z",
     "iopub.status.busy": "2022-04-26T20:06:18.314280Z",
     "iopub.status.idle": "2022-04-26T20:06:18.540583Z",
     "shell.execute_reply": "2022-04-26T20:06:18.539442Z"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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3HiRNeuXRuupKenR0dHz5kzZ/z48Xa7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\nfG38cXNJ2A4AAAAASUVORK5CYII=",
      "text/plain": [
       "plot without title"
      ]
     },
     "metadata": {
      "image/png": {
       "height": 420,
       "width": 420
      }
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "df <- data.frame(\n",
    "  resid = residuals(lm_98105),\n",
    "  pred = predict(lm_98105))\n",
    "\n",
    "graph <- ggplot(df, aes(pred, abs(resid))) +\n",
    "  geom_point() +\n",
    "  geom_smooth(formula=y~x, method='loess') +\n",
    "  scale_x_continuous(labels = function(x) format(x, scientific = FALSE)) +\n",
    "  theme_bw()\n",
    "graph"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 32,
   "metadata": {
    "execution": {
     "iopub.execute_input": "2022-04-26T20:06:18.544900Z",
     "iopub.status.busy": "2022-04-26T20:06:18.543939Z",
     "iopub.status.idle": "2022-04-26T20:06:18.579201Z",
     "shell.execute_reply": "2022-04-26T20:06:18.577958Z"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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JweISUVT0iTDvo6Uuq7t3QIKaloQrrZ/1VkxXulvn9LhpCSiiakprHf9/TX8k6p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\nAiAkIABCAgIgJCCA/w+1V6y5uwWelAAAAABJRU5ErkJggg==",
      "text/plain": [
       "Plot with title “”"
      ]
     },
     "metadata": {
      "image/png": {
       "height": 420,
       "width": 420
      }
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "hist(std_resid, main='')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Partial Residual Plots and Nonlinearity"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 33,
   "metadata": {
    "execution": {
     "iopub.execute_input": "2022-04-26T20:06:18.583009Z",
     "iopub.status.busy": "2022-04-26T20:06:18.582048Z",
     "iopub.status.idle": "2022-04-26T20:06:18.821116Z",
     "shell.execute_reply": "2022-04-26T20:06:18.820038Z"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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6IoxsbGSjXuvCMHAABwGMlOxfbt23f5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\nQCYIdgAAADJBsAMAAJCJ/wdOE2mycBKHWAAAAABJRU5ErkJggg==",
      "text/plain": [
       "plot without title"
      ]
     },
     "metadata": {
      "image/png": {
       "height": 420,
       "width": 420
      }
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "terms <- predict(lm_98105, type='terms')\n",
    "partial_resid <- resid(lm_98105) + terms\n",
    "\n",
    "df <- data.frame(SqFtTotLiving = house_98105[, 'SqFtTotLiving'],\n",
    "                 Terms = terms[, 'SqFtTotLiving'],\n",
    "                 PartialResid = partial_resid[, 'SqFtTotLiving'])\n",
    "graph <- ggplot(df, aes(SqFtTotLiving, PartialResid)) +\n",
    "  geom_point(shape=1) + scale_shape(solid = FALSE) +\n",
    "  geom_smooth(linetype=2, formula=y~x, method='loess') + \n",
    "  geom_line(aes(SqFtTotLiving, Terms)) + \n",
    "  scale_y_continuous(labels = function(x) format(x, scientific = FALSE))\n",
    "graph"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Polynomial and Spline Regression"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 34,
   "metadata": {
    "execution": {
     "iopub.execute_input": "2022-04-26T20:06:18.825383Z",
     "iopub.status.busy": "2022-04-26T20:06:18.824406Z",
     "iopub.status.idle": "2022-04-26T20:06:18.840243Z",
     "shell.execute_reply": "2022-04-26T20:06:18.839235Z"
    }
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "\n",
       "Call:\n",
       "lm(formula = AdjSalePrice ~ poly(SqFtTotLiving, 2) + SqFtLot + \n",
       "    BldgGrade + Bathrooms + Bedrooms, data = house_98105)\n",
       "\n",
       "Coefficients:\n",
       "            (Intercept)  poly(SqFtTotLiving, 2)1  poly(SqFtTotLiving, 2)2  \n",
       "             -402530.47               3271519.49                776934.02  \n",
       "                SqFtLot                BldgGrade                Bathrooms  \n",
       "                  32.56                135717.06                 -1435.12  \n",
       "               Bedrooms  \n",
       "               -9191.94  \n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "lm_poly <- lm(AdjSalePrice ~  poly(SqFtTotLiving, 2) + SqFtLot + \n",
    "                BldgGrade +  Bathrooms +  Bedrooms,\n",
    "              data=house_98105)\n",
    "terms <- predict(lm_poly, type='terms')\n",
    "partial_resid <- resid(lm_poly) + terms\n",
    "lm_poly"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 35,
   "metadata": {
    "execution": {
     "iopub.execute_input": "2022-04-26T20:06:18.843895Z",
     "iopub.status.busy": "2022-04-26T20:06:18.843038Z",
     "iopub.status.idle": "2022-04-26T20:06:19.022664Z",
     "shell.execute_reply": "2022-04-26T20:06:19.021319Z"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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Wg0mhq+ykywEwqFVeMUIUSpVAqFQqba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\nEAQ7AAAAhSDYAQAAKATBDgAAQCH+H6wexDzGxFaeAAAAAElFTkSuQmCC",
      "text/plain": [
       "plot without title"
      ]
     },
     "metadata": {
      "image/png": {
       "height": 420,
       "width": 420
      }
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "df <- data.frame(SqFtTotLiving = house_98105[, 'SqFtTotLiving'],\n",
    "                 Terms = terms[, 1],\n",
    "                 PartialResid = partial_resid[, 1])\n",
    "graph <- ggplot(df, aes(SqFtTotLiving, PartialResid)) +\n",
    "  geom_point(shape=1) + scale_shape(solid = FALSE) +\n",
    "  geom_smooth(linetype=2, formula=y~x, method='loess') + \n",
    "  geom_line(aes(SqFtTotLiving, Terms)) +\n",
    "  scale_y_continuous(labels = function(x) format(x, scientific = FALSE))\n",
    "graph"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Splines"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 36,
   "metadata": {
    "execution": {
     "iopub.execute_input": "2022-04-26T20:06:19.028584Z",
     "iopub.status.busy": "2022-04-26T20:06:19.027672Z",
     "iopub.status.idle": "2022-04-26T20:06:19.049350Z",
     "shell.execute_reply": "2022-04-26T20:06:19.047888Z"
    }
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "\n",
       "Call:\n",
       "lm(formula = AdjSalePrice ~ bs(SqFtTotLiving, knots = knots, \n",
       "    degree = 3) + SqFtLot + Bathrooms + Bedrooms + BldgGrade, \n",
       "    data = house_98105)\n",
       "\n",
       "Coefficients:\n",
       "                                  (Intercept)  \n",
       "                                   -414157.61  \n",
       "bs(SqFtTotLiving, knots = knots, degree = 3)1  \n",
       "                                   -199529.76  \n",
       "bs(SqFtTotLiving, knots = knots, degree = 3)2  \n",
       "                                   -120580.64  \n",
       "bs(SqFtTotLiving, knots = knots, degree = 3)3  \n",
       "                                    -71644.39  \n",
       "bs(SqFtTotLiving, knots = knots, degree = 3)4  \n",
       "                                    195677.89  \n",
       "bs(SqFtTotLiving, knots = knots, degree = 3)5  \n",
       "                                    845244.25  \n",
       "bs(SqFtTotLiving, knots = knots, degree = 3)6  \n",
       "                                    695545.67  \n",
       "                                      SqFtLot  \n",
       "                                        33.33  \n",
       "                                    Bathrooms  \n",
       "                                     -4778.21  \n",
       "                                     Bedrooms  \n",
       "                                     -5778.70  \n",
       "                                    BldgGrade  \n",
       "                                    134462.37  \n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "knots <- quantile(house_98105$SqFtTotLiving, p=c(.25, .5, .75))\n",
    "lm_spline <- lm(AdjSalePrice ~ bs(SqFtTotLiving, knots=knots, degree=3) +  SqFtLot +  \n",
    "                  Bathrooms + Bedrooms + BldgGrade,  data=house_98105)\n",
    "lm_spline\n",
    "\n",
    "terms1 <- predict(lm_spline, type='terms')\n",
    "partial_resid1 <- resid(lm_spline) + terms1"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 37,
   "metadata": {
    "execution": {
     "iopub.execute_input": "2022-04-26T20:06:19.053170Z",
     "iopub.status.busy": "2022-04-26T20:06:19.052226Z",
     "iopub.status.idle": "2022-04-26T20:06:19.238722Z",
     "shell.execute_reply": "2022-04-26T20:06:19.237663Z"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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8aNJZl8rhoR7AAA8jRz5szr168PGjTIx8fnxo0bzZo1+/TTT+vWrSt1XTWnZlLd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\ni5eX15o1a86cOQO+dHFxMTMzs7Cw0NXVHWWv/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ICAvr4+K1rl4+OTkJCAU+gRCAR1dfW0tDQajVZTU8Na4yggIGBkZKSjozMwMPDy5Usa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",
      "text/plain": [
       "plot without title"
      ]
     },
     "metadata": {
      "image/png": {
       "height": 420,
       "width": 420
      }
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "df1 <- data.frame(SqFtTotLiving = house_98105[, 'SqFtTotLiving'],\n",
    "                 Terms = terms1[, 1],\n",
    "                 PartialResid = partial_resid1[, 1])\n",
    "\n",
    "graph <- ggplot(df1, aes(SqFtTotLiving, PartialResid)) +\n",
    "  geom_point(shape=1) + scale_shape(solid = FALSE) +\n",
    "  geom_smooth(linetype=2, formula=y~x, method='loess') + \n",
    "  geom_line(aes(SqFtTotLiving, Terms)) +\n",
    "  scale_y_continuous(labels = function(x) format(x, scientific = FALSE))\n",
    "graph"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Generalized Additive Models"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 38,
   "metadata": {
    "execution": {
     "iopub.execute_input": "2022-04-26T20:06:19.243362Z",
     "iopub.status.busy": "2022-04-26T20:06:19.241957Z",
     "iopub.status.idle": "2022-04-26T20:06:19.300351Z",
     "shell.execute_reply": "2022-04-26T20:06:19.298822Z"
    }
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "\n",
       "Family: gaussian \n",
       "Link function: identity \n",
       "\n",
       "Formula:\n",
       "AdjSalePrice ~ s(SqFtTotLiving) + SqFtLot + Bathrooms + Bedrooms + \n",
       "    BldgGrade\n",
       "\n",
       "Estimated degrees of freedom:\n",
       "4.49  total = 9.49 \n",
       "\n",
       "GCV score: 30148051324     "
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "lm_gam <- gam(AdjSalePrice ~ s(SqFtTotLiving) + SqFtLot + \n",
    "              Bathrooms +  Bedrooms + BldgGrade, \n",
    "              data=house_98105)\n",
    "terms <- predict.gam(lm_gam, type='terms')\n",
    "partial_resid <- resid(lm_gam) + terms\n",
    "lm_gam"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 39,
   "metadata": {
    "execution": {
     "iopub.execute_input": "2022-04-26T20:06:19.304141Z",
     "iopub.status.busy": "2022-04-26T20:06:19.303029Z",
     "iopub.status.idle": "2022-04-26T20:06:19.487935Z",
     "shell.execute_reply": "2022-04-26T20:06:19.486878Z"
    },
    "scrolled": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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ABwdaJLH8DoaCkpKQ+dbOEIsjnGzmg0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UFhamH1FWVhYSEioqKtq5c6evr+/06dOd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\nOui9e/c2b96sqak5atSo0NDQ/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JyXn//fetVuvGjRsdDsf06dPtdntdXZ0QYsiQ\nIR0Pvueeezr983379nX6DTgzM7NbDXz++edCiHvvvbdjMTo6WgjhWSC+Mcqq69tvvy2EqKys\nPHfu3Neuw4qvrjj08PHxcTqdQojPPvtMfPXXWzw6tQqg9yLYAZCB1WqdMWNGUVFRx6Kfn192\ndva8efPOnz9/5MgRpehyuToeYzQab3kzbrdbCKHRaDoWlfu9ybuzWCxxcXElJSVCiDfffDMw\nMHDy5Mlfe2Sne/dwOBxXt9ETTwIAVRDsAMggICCgpKQkPz//6l1BQUFCCIPBYLFYhBAnTpzo\nuFeZwbq1Bg8eLIQ4fvx4x6KyGRERcZMnz8jIOHjw4L/+9a8//vGPU6dO7e6nWSMjI8VVT0Kn\nTQC9F8EOgAwMBkNGRkZNTc38+fPtdrunXltb+7vf/W7IkCHDhg2LiYm59957CwoKmpqalL3V\n1dUfffRR1+9Fp9OJrya9riM2NjYsLCw/P7+xsVGp2O32devWGY3G5OTkrp/na6Wnp/v4+Pzq\nV7/6z3/+c6112Ov47ne/279//02bNnm+ae0f//jHBx98cAOdALgN8c0TACSxbt26Tz75JC8v\nr7i4OCEhoU+fPnV1dfv37/fx8SkpKVGy1Msvv5ycnBwbG/uTn/ykpaUlLy+vW6uQoaGhQois\nrKxJkyb98pe/vNZhBoNhw4YNaWlp999/f1ZWlsFg2LJly9///veNGzcqf3jla8+zYMGCTtNv\nEydOnDJlSqeT9+3bNzk5efv27eHh4ePHj+968wq9Xp+Xl5eenj527Njp06c3NjZu3LhRr9cr\ny8cAejuCHQBJ9OnTp7q6esOGDWVlZVVVVTabLSwsbMaMGTk5OXfffbdyzPjx4ysrKxcvXrx0\n6dLQ0NDnnntu+/btXV+NTU9PLysr27dvX0NDw3WCnRBi6tSpu3btev7551etWqXVakePHr1j\nx45JkyZd5zzFxcWdTmI2m68OdkKI6dOn79ix47HHHtNqb2TVJS0tTavVrlq1aunSpd/+9reX\nL1++b9++3bt338CpANxuNPyWBuBOlpiY+Nlnn93kh1V7kfb29osXL/bv379jMTExsb6+/p//\n/KdaXQG4VbjGDgDuIA6HIyIiYubMmZ5KfX19VVXVmDFj1GsKwC3DUiwA3EH8/PweeeSR1157\nTaPRxMXFXbx48dVXXzUYDMuWLVO7NQC3AMEOAO4sxcXFw4cPf/311996663AwMDx48evWLGi\n058sBtBLcY0dAACAJLjGDgAAQBIEOwAAAEkQ7AAAACRBsAMAAJAEwQ4AAEASBDsAAABJEOwA\nAAAk8X+uUgGKMJAOuwAAAABJRU5ErkJggg==",
      "text/plain": [
       "plot without title"
      ]
     },
     "metadata": {
      "image/png": {
       "height": 420,
       "width": 420
      }
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "df <- data.frame(SqFtTotLiving = house_98105[, 'SqFtTotLiving'],\n",
    "                 Terms = terms[, 5],\n",
    "                 PartialResid = partial_resid[, 5])\n",
    "graph <- ggplot(df, aes(SqFtTotLiving, PartialResid)) +\n",
    "  geom_point(shape=1) + scale_shape(solid = FALSE) +\n",
    "  geom_smooth(linetype=2, formula=y~x, method='loess') + \n",
    "  geom_line(aes(SqFtTotLiving, Terms)) +\n",
    "  scale_y_continuous(labels = function(x) format(x, scientific = FALSE))\n",
    "graph"
   ]
  }
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